Code:
$ \limsup_{x\to\infty}\frac{|\sin(\sqrt{x+1})-\sin(\sqrt{x})|}{\frac{1}{\sqrt{x}}}=\frac{1}2. $
Code:
$ \limsup_{x\to\infty}\frac{|\sin(\sqrt{x+1})-\sin(\sqrt{x})|}{\frac{1}{\sqrt{x}}}=\frac{1}2. $
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